Anthony has a cup full of nickels and dimes worth $6.80. There are 82 coins all together.
Which of the following systems of equations correctly models this situation?
x+y= 680
5x+10y = 82
B. 5x+10y = 680
x+y=82
5x +y = 680
x+10y = 82
D. 5x+y=82
x+10y = 680

mariah is studying the life cycle of the monarch butterfly. she must choose one stage in the cycle to present in science class: egg, caterpillar, chrysalis, or adult. she plans to make her choice randomly using a custom spinner divided into four sections. first, however, she spins the spinner 50 times to see the frequencies it generates.

stage times landed on

egg 10

caterpillar 12

chrysalis 15

adult 13

step-by-step explanation:

in the simple case, the two triangles point x and y are congruent because every corresponding side has the same length, and every corresponding angle has the same measure.

b) yes

step-by-step explanation:

let the statements be named as,

statement 1: if the power has been cut, then the refrigerator does not work.

statement 2: the refrigerator does not work.

conclusion: the power has been cut

now, 'law of detachment states that if we have the statements given as,

1. if p, then q.

2. p

then, we get the true statement or conclusion as q'.

thus, on comparing, we get that,

p: if the power has been cut.

q: the refrigerator does not work.

so, the argument is true by the law of detachment.